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Finding the Third Proportional to 6,674,859 and 14,294,502

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Solution

The third proportional to 6,674,859 and 14,294,502 is: 30,612,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674,859 : 14,294,502 = 14,294,502 : x
  2. Step 2: Convert to fraction form
    6,674,859/14,294,502 = 14,294,502/x
  3. Step 3: Cross multiply
    6,674,859x = 14,294,502 × 14,294,502
  4. Step 4: Simplify right side
    6,674,859x = 204,332,787,428,004
  5. Step 5: Solve for x
    x = 204,332,787,428,004/6,674,859
  6. Step 6: Final answer
    x = 30,612,300.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.